"Track to" and animations at the same time?
You can achieve the behavior that you want by parenting your empty with the recoil animation to the empty that tracks to the center of the screen.



           Tracks to the center                         Emits projectiles + plays recoil animation

When your projectile emitting empty is parented to the tracking empty, it will still track to the center of the screen, and your bullets will vary in direction depending on your animation on that empty.

I think this is the effect you are trying to achieve